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Mila [183]
2 years ago
8

The perimeter of a rectangle is 120 meters and the length is 20 meters longer than the width. Find the dimensions of the rectang

le. Let x = the length and y = the
2+2y = 12)
width. The corresponding modeling system is 2x + 2y =120 x-y = 20
Solve the system graphically
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
8 0

The dimension of the rectangle is 40meters by 20meters

<h3>What is the perimeter of a figure?</h3>

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

Learn more on perimeter of figure here: brainly.com/question/22447290

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Imagine that you are given two linear equations in slope-intercept form. You
murzikaleks [220]

The correct answer is option D.

<h3>What is Straight Line?</h3>

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.

If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.

Consider an example:

Equation 1: 2x + y = 4

Equation 2: 4x + 2y = 8

If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:

Slope intercept form of Equation 1: y = -2x + 4

Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4

Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.

Thus, the correct answer is option D.

Learn more about Straight line from:

brainly.com/question/20492082

#SPJ1

7 0
2 years ago
2032 base four expanded notation
BabaBlast [244]
Assuming 2032 is itself a number in base 4, you have

2032_4=2\times4^3+3\times4^1+2\times4^0

Or, if you mean to ask about converting 2032 into base 4, you have

\dfrac{2032}4=508 with remainder 0, which means the "ones" digit is 0.
\dfrac{508}4=127 with remainder 0, which means the "tens" digit is also 0.
\dfrac{127}4=31 with remainder 3, so the "hundreds" digit is 3.
\dfrac{31}4=7 with remainder 3, so the "thousands" digit is also 3.
\dfrac74=1 with remainder 3, so the next digit is also 3.
\dfrac14=0 with remainder 1, so the next (and final) digit is 1.

So, 2032_{10}=133300_4.
4 0
3 years ago
Johnny will work 15 hours a week during the l36 week school year, and 40 hours a
Juli2301 [7.4K]
15 hours for 36 weeks = 540 hours
40 hours for 16 weeks = 640 hours
540 + 640 = 1,180 hours total
7 0
3 years ago
Which fraction is greater than -5/16<br> A.)-1/2<br> B.)-1/4<br> C.)-3/8<br> D.)-11/32
MrRissso [65]
The answer is B. -1/4 is greater than -5/16
3 0
3 years ago
What is -14 written as a fraction​
Bond [772]

Answer:

-14/1

Step-by-step explanation:

= -14 x 1 / 1 x 1

= -14/1

6 0
3 years ago
Read 2 more answers
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